Let ?x denote the proportion of households in some county with x cars. Suppose ?1 =...

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Let ?x denote the proportion of households in some county with xcars. Suppose ?1 = 0.32, ?2 = 0.38, ?3 = 0.1, ?4 = 0.02, ?5 = 0.01and all the other households in the county have 0 cars.

(a) What is the average number of cars per household in thiscounty? What is the corresponding variance?

(b) If a household is selected at random and X is its number ofcars, draw the pmf of X.

(c) What is the expectation and what is the standard deviationof X?

(d) Compute the skewness of X.

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4.1 Ratings (545 Votes)
sum of all probability must be 1 so 0 1 032 038 01 002001 017 a X PX XPX X PX 1 032 032 032 2 038 076 152 3 01 03 09 4 002    See Answer
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